Question

The ratio of thermal conductivity of two rods is 5:4.The two rods of same area of cross section and same thermal resistance will have the lengths in the ratio​

Answer 1

They have the lengths in the ratio = 5:4.

Given:

The ratio of thermal conductivity of two rods is 5:4.

The two rods of same area of cross section and same thermal resistance.

To find:

They have the lengths in the ratio​.

Formula used:

Fourier law of heat conduction:

Heat transfer = K × A $\frac{\Delta T }{\Delta x}$

Where   K = thermal conductivity

             A = Cross sectional area

Explanation:

Rod has same thermal resistance So that heat transfer and temperature should be same.

Heat transfer = K × A $\frac{\Delta T }{\Delta x}$

Surface area is also same.

From above equation,

$\frac{K_1}{L_1}$ = $\frac{K_2}{L_2}$

$\frac{L_1 }{L_2}$ = $\frac{K_1}{k_2}$

$\frac{L_1 }{L_2}$  = $\frac{5}{4}$

They have the lengths in the ratio = 5:4.

To learn more...

1)2. Which one of the following statements

about thermal conductivity is correct?

Give reason.

a) Steel > Wood > Water

b) Steel > Water > Wood

c) Water > Steel > Wood

d) Water > Wood > Steel

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2)The ratio of thermal conductivity of two rods is 5:4.The two rods of same area of cross section and same thermal resistance will have the lengths in the ratio​

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